On a shelf, there were 92 jackets and cardigans. Asher spilt hot juice on the shelf and stained 50% of the cardigans and 10% of the jackets. If 70 jackets and cardigans were still clean, how many stained cardigans were there?
|
Jackets |
Cardigans |
Total |
Stained |
1 u |
1 p |
22 |
Clean |
9 u |
1 p |
70 |
Total |
10 u |
2 p |
92 |
50% =
50100 =
12 10% =
10100 =
110 Number of stained clothes
= 92 - 70
= 22
9 u + 1 p = 70
1 p = 70 - 9 u --- (1)
1 u + 1 p = 22
1 p = 22 - 1 u --- (2)
(2) - (1)
22 - 1 u = 70 - 9 u
9 u - 1 u = 70 - 22
8 u = 48
1 u = 48 ÷ 8 = 6
Number of stained cardigans
= 22 - 1 u
= 22 - 6
= 16
Answer(s): 16